Presented in this paper the nature of the supersymmetrical representation theory behind 4D,
Script N= 1 theories, as described by component fields, is investigated using the tools of …

Using a Mathematica TM code, we present a straightforward numerical analysis of the 384-
dimensional solution space of signed permutation 4× 4 matrices, which in sets of four …

A bstract We present a new method of deriving the off-shell spectrum of supergravity and
massless 4D,\(\mathcal {N}\)= 1 higher spin multiplets without the need of an action and …

An Adinkra is a graph from the study of supersymmetry in particle physics, but it can be
adapted to study Clifford algebra representations. The graph in this context is called a …

Adinkras are signed graphs used to study supersymmetry in physics. We provide an
introduction to these objects, and study the properties of their signed adjacency and signed …

There exist myriads of off-shell worldline supermultiplets for (N≦32)-extended
supersymmetry in which every supercharge maps a component field to precisely one other …

We propose the recently defined" Holoraumy Tensor" to play a critical role in defining a
metric to establish a correspondence between 4D,-extended 0-brane-based valise …

We analyze the group of maximal automorphisms of the N-extended worldline
supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of" …

We present arguments to support the existence of weight spaces for supersymmetric field
theories and identify the calculations of information about supermultiplets to define such …

A bstract Starting from three minimal off-shell 4D,\(\mathcal {N}= 1\) supermultiplets, using
constructions solely defined within the confines of the four dimensional field theory we show …